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Finding the Fourth Proportional to 840,588, 1,160,011.44 and 538,782

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Solution

The fourth proportional to 840,588, 1,160,011.44 and 538,782 is: 743,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,588 : 1,160,011.44 = 538,782 : x
  2. Step 2: Convert to fraction form
    840,588/1,160,011.44 = 538,782/x
  3. Step 3: Cross multiply
    840,588x = 1,160,011.44 × 538,782
  4. Step 4: Simplify right side
    840,588x = 624,993,283,666.08
  5. Step 5: Solve for x
    x = 624,993,283,666.08/840,588
  6. Step 6: Final answer
    x = 743,519.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.